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233053255 = 51712721589
BaseRepresentation
bin11011110010000…
…01110001000111
3121020112022222001
431321001301013
5434130201010
635043050131
75526630361
oct1571016107
9536468861
10233053255
1110a6093a6
1266070947
133938ac46
1422d47d31
15156d7c3a
hexde41c47

233053255 has 16 divisors (see below), whose sum is σ = 298460160. Its totient is φ = 174085632.

The previous prime is 233053253. The next prime is 233053279. The reversal of 233053255 is 552350332.

233053255 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

233053255 is a nontrivial binomial coefficient, being equal to C(21590, 2).

It is a 9-Lehmer number, since φ(233053255) divides (233053255-1)9.

It is a cyclic number.

It is not a de Polignac number, because 233053255 - 21 = 233053253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233053253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 21589.

It is an arithmetic number, because the mean of its divisors is an integer number (18653760).

Almost surely, 2233053255 is an apocalyptic number.

233053255 is the 21589-th triangular number and also the 10795-th hexagonal number.

233053255 is the 7197-th centered nonagonal number.

233053255 is a deficient number, since it is larger than the sum of its proper divisors (65406905).

233053255 is a wasteful number, since it uses less digits than its factorization.

233053255 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21738.

The product of its (nonzero) digits is 13500, while the sum is 28.

The square root of 233053255 is about 15266.0818483329. The cubic root of 233053255 is about 615.3918273333.

The spelling of 233053255 in words is "two hundred thirty-three million, fifty-three thousand, two hundred fifty-five".

Divisors: 1 5 17 85 127 635 2159 10795 21589 107945 367013 1835065 2741803 13709015 46610651 233053255